- [Maximum mark: 16]
(a) (i) Show that the radius of the Ferris wheel is 18.5 m. [1]
(ii) Calculate the circumference of the Ferris wheel. [1]
(b) When the wheel rotates 10°, find the distance that a pod travels along the circumference. [3]
(c) (i) Find the value of b. [1]
(ii) Find the value of d. [1]
(iii) Hence, write down the equation of the sinusoidal model. [3]
(d) Use the model to find the values of t when the height of this pod is 33 m above sea level for 0 ≤ t ≤ 15. [3]
(e) Calculate the total number of revolutions that the Ferris wheel has made. Give your answer in the form a × 10ᵏ where 1 ≤ a < 10 and k is an integer. [3]